What is the 5347th prime number?
The 5347th prime number is 52301. The next prime is 52313 (a gap of 12) and the one before is 52291.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5347th one is 52301.
- 2
52301 is prime because no prime up to ā52301 ā 228.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5347th prime is close to 5347 Ć ln(5347) ā 45900, and here it is 52301.
- 4
52301 has no twin: neither 52299 nor 52303 is prime.
Primes around the 5347th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5344 | 52267 | 8 |
| 5345 | 52289 | 22 |
| 5346 | 52291 | 2 |
| 5347 | 52301 | 10 |
| 5348 | 52313 | 12 |
| 5349 | 52321 | 8 |
| 5350 | 52361 | 40 |
Questions
What is the 5347th prime number?
52301.
Which prime number is 52301?
52301 is the 5347th prime number.
What is the sum of the first 5347 primes?
131,963,480.